CYLINDERS
What two pieces of information do you need to know to find the volume of a cone?
Height and base (area of the circle using the radius).
How is the volume formula for a cone different from the volume formula of a cylinder.
Multiply by 1/3 or divide by 3.
In the volume formula for a sphere, is the radius squared or cubed?
Cubed.
True or False: In addition to the radius, we must also know the height of the sphere to be able to find its volume.
False. To find the volume of a sphere we only need to know the radius of the sphere.
Solve for the volume of this cylinder. (Include units.)
Base = 3.14 ft2
Height = 15 ft
Volume = 47.1ft3
Solve for the volume of this cone. (Include units.)
Base = 9 meters2
Height = 22 meters
Volume = 66 meters3
Solve for the volume of this sphere. (Include units.)
Radius = 2.5 mm
About 65.4 mm3
Solve for the height of a cylinder with this given information.
Volume = 130 feet3
Base = 39 feet2
Height = 3.33 feet or 3 1/3 feet
Draw and solve for the volume of this cylinder. (Include units.)
Diameter = 10 cm
Height = 10 cm
Volume = 785 cm3
Draw and solve for the volume of this cone. (Include units.)
Radius = 15 cm
Height = 12 cm
2826 cm3
Draw and solve for the volume of this sphere. (Include units.)
Diameter = 3 yards
Volume = 14.13 yards3
Solve for the height of a cylinder with this given information.
Volume = 1177.5 feet3
Radius = 5 feet
Height = 15 feet
Draw and solve for the volume of this cylinder. (Include units.)
Radius = 3/4 inch
Height = 1/2 inch
Volume = 0.883 inches3
Draw and solve for the volume of this cone. (Include units.)
Radius = 7/8 inch
Height = 2 feet
About 19.23 inches3
Draw and solve for the volume of this sphere. (Include units.)
Radius = 1/2 meter
About 0.523 meters3
Solve for the radius of the cone with this given information.
Volume = 3014.4 cm3
Height = 20 cm
Radius = 12 cm
A farmer is building a cylindrical silo with a radius of 5 meters and a height of 12 meters to store grain. Calculate the volume of the silo to determine how much grain it can hold in cubic meters.
About 942 meters3
To celebrate the end of their soccer season, a team decides to buy a giant ice cream cone for each player. Each cone has a radius of 4 cm and a height of 10 cm. How much ice cream will each cone hold before the dome scoop on top?
About 167.5 cm3
In a distant galaxy, there exists a gigantic marble floating in space. This marble is a perfect sphere with a diameter of 60 meters. To understand its significance, scientists aim to calculate its volume.
Volume = 113097.24 meters3
Solve for the radius of this sphere when the given volume is 1766.25 mm3.
Radius = 7.5 mm